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3 years ago

To convert 5 square meters to square yards, multiply 5 by 1.196. true false

Mathematics

2 answers:

mina [271]3 years ago

6 0

True that is the correct formula

Hoochie [10]3 years ago

5 0

The answer is clearly true go and get a A+

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Write a slope-intercept equation for a line that passes through (-4, 6.7) and (0, 6.7).

Shkiper50 [21]

Answer:

Step-by-step explanation:

In both the point, y-coordinates are same. So, the line is parallel to x-axis

Slope of the line parallel to x-axis =0

m = 0

Equation : y =6.7

3 0

3 years ago

3. A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc

bija089 [108]

Circumference = πd = 3.14*559 = 1755.26
The spokes divide the circumference into 32 arcs. Each arc length is 1755.26/32 = 54.75 mm

4 0

3 years ago

A conjecture and the flowchart proof used to prove the conjecture are shown.Drag an expression or phrase to each box to complete

Mice21 [21]

Solution: The solution is shown is below figure.

Explanation:

From the given information JKLM is a parallelogram and $\underset{LN}{\rightarrow}$ bisects $\angle KLP$ . So Blank 1 is filled by Given and blank 2 is filled by $\underset{LN}{\rightarrow}$ bisects $\angle KLP$ .

Parallelogram is a quadrilateral whose opposite sides are equal or parallel. Since it is given that JKLM is a parallelogram, therefore the side JM is parallel to the side KL. So blank 3 filled by Definition of parallelogram.

If a line bisects an angle it is means it divides the angle in two equal parts. Since $\underset{LN}{\rightarrow}$ bisects $\angle KLP$ , therefore $\angle 2\cong \angle 3$ . Hence the blank 4 is filled by Definition of bisect.

The transitive property of congruence states that if $\angle 1\cong \angle 2$ and $\angle 2\cong \angle 3$ , then $\angle 1\cong \angle 3$ . Thus, the blank 5 is filled by Transitive Property of Congruence.

5 0

4 years ago

Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$